Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample28.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.0b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(* y (/ b t))
5.8b	(* y (/ z t))
11.6b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 110

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
6.0ms	(* y (/ b t))
9.0ms	(* y (/ z t))
8.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ x (* y (/ z t)))
5.0ms	(* y (/ b t))
5.0ms	(* y (/ z t))
38.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* y (/ b t)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	1470
1	4987	1470

prune217.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	107	15	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	16	124

Merged error: 11.5b

Counts

124 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
4.2b	(* y (/ b t))
5.8b	(* y (/ z t))
11.6b	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
46×	`times-frac`
44×	`associate-r`
38×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
8×	`prod-exp`
7×	`distribute-lft-out` `unswap-sqr`
6×	`div-exp` `cbrt-unprod`
4×	`cbrt-undiv` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `div-inv` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
6.0ms	(* y (/ b t))
6.0ms	(* y (/ z t))
11.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ a (+ 1.0 (* y (/ b t)))))
5.0ms	(* y (/ b t))
5.0ms	(* y (/ z t))
41.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ a (+ 1.0 (* y (/ b t))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5060	1908

prune213.0ms

Filtered

98 candidates to 158 candidates (-61.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	157	17	174

Merged error: 11.5b

Counts

174 → 17

localize17.0ms

Local error

Found 4 expressions with local error:

11.6b	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
17.0b	(cbrt (* y (/ b t)))
17.0b	(cbrt (* y (/ b t)))
17.0b	(cbrt (* y (/ b t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r*` `distribute-lft-out` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r/` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 65

Calls

4 calls:

7.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
4.0ms	(cbrt (* y (/ b t)))
4.0ms	(cbrt (* y (/ b t)))
4.0ms	(cbrt (* y (/ b t)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (+ x (* y (/ z t))) (+ a (+ 1.0 (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t)))))))
21.0ms	(cbrt (* y (/ b t)))
19.0ms	(cbrt (* y (/ b t)))
19.0ms	(cbrt (* y (/ b t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5027	1177

prune151.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	77	17	94

Merged error: 11.5b

Counts

94 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

11.6b	(/ (+ x (* (* y (* (cbrt (/ z t)) (cbrt (/ z t)))) (cbrt (/ z t)))) (+ a (+ 1.0 (* y (/ b t)))))
16.0b	(cbrt (/ z t))
16.0b	(cbrt (/ z t))
16.0b	(cbrt (/ z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
39×	`cbrt-prod` `times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r*` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

8.0ms	(/ (+ x (* (* y (* (cbrt (/ z t)) (cbrt (/ z t)))) (cbrt (/ z t)))) (+ a (+ 1.0 (* y (/ b t)))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series78.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ x (* (* y (* (cbrt (/ z t)) (cbrt (/ z t)))) (cbrt (/ z t)))) (+ a (+ 1.0 (* y (/ b t)))))
15.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))
13.0ms	(cbrt (/ z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4945	1465
1	4945	1465

prune115.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	113	17	130

Merged error: 11.5b

Counts

130 → 17

regimes1.4s

Accuracy

79.6% (1.0b remaining)

Error of 12.4b against oracle of 11.4b and baseline of 16.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	202
1	60	202

end0.0ms

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample711.0ms

Algorithm

intervals

Results

433.0ms	8000×	body	80	valid
16.0ms	259×	body	80	invalid

Details

analyze1.4s

sample28.0ms

simplify3.0ms

prune14.0ms

localize12.0ms

rewrite29.0ms

series57.0ms

simplify51.0ms

prune217.0ms

localize15.0ms

rewrite34.0ms

series65.0ms

simplify73.0ms

prune213.0ms

localize17.0ms

rewrite20.0ms

series105.0ms

simplify44.0ms

prune151.0ms

localize16.0ms

rewrite18.0ms

series78.0ms

simplify68.0ms

prune115.0ms

regimes1.4s

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.4s

sample711.0ms

Profiling